An observer `O_(1)` standing on ground finds that momentum of a projectile of mass `2 kg` changes with time as `vec(P)_(01) =(4that (i) + 20 t hat(k))kg m//s` Acceleration due to gravity is `vec(g)=(10 hat(k))m//s^(2)` and there is a wind blowing in horizontal direction. Another observer `O_(2)` driving a car observes that momentum of the same projectile changes with time as -
`vec(P)_(02)=(8t hat(i)-16 hat(t) hat(j)+20 t hat(k))kg m//s`. Find the acceleration of the car at `t = (1)/(8) s`

Answer

`vec(a)_(car)=-2 hat(i)+2 hat(j)`